ON PRIMITIVE CONSTANT DIMENSION CODES AND A GEOMETRICAL SUNFLOWER BOUND

被引：4
|
作者：
Barrolleta, Roland D. [1 ]
Suarez-Canedo, Emilio [1 ]
Storme, Leo [2 ]
Vandendriessche, Peter [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Engn Informacio & Comunicac, Edifici Q, E-08193 Barcelona, Spain
[2] Dept Math WE01, Krijgslaan 281,Bldg S25, B-9000 Ghent, Belgium
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2017年 / 11卷 / 04期
关键词：
Subspace codes; constant intersection dimension codes; rank codes; finite geometry; Galois geometry; SUBSPACE; SETS;
D O I：
10.3934/amc.2017055
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we study subspace codes with constant intersection dimension (SCIDs). We investigate the largest possible dimension spanned by such a code that can yield non-sunflower codes, and classify the examples attaining equality in that bound as one of two infinite families. We also construct a new infinite family of primitive SCIDs.
引用
收藏
页码：757 / 765
页数：9
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